On the weak Harnack inequality for unbounded non-negative super-solutions of degenerate double-phase parabolic equations

2023/05/22 by Mariia Savchenko, Savchenko, Mariia, Игорь Николаевич Скрыпник +3 · 1 citation
Computer Science · Mathematics · #35B40 #35B45 #35B65 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2305.13053

openalex publication_date 2023/05/22 · openalex created_date 2023/05/24 · openalex updated_date 2026/07/28

Abstract

In the case q> p\dfracn+2n, we give a proof of the weak Harnack inequality for non-negative super-solutions of degenerate double-phase parabolic equations under the additional assumption that u∈ L^s_loc(Ω_T) with some s >p\dfracn+2n.

Cited by

• Gradient higher integrability of bounded solutions to parabolic double-phase systems

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